463163904 has 240 divisors, whose sum is σ = 1555025472. Its totient is φ = 129982464.

The previous prime is 463163849. The next prime is 463163917. The reversal of 463163904 is 409361364.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2677162 + ... + 2677334.

Almost surely, 2^463163904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463163904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777512736).

463163904 is an abundant number, since it is smaller than the sum of its proper divisors (1091861568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

463163904 is a wasteful number, since it uses less digits than its factorization.

463163904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 463163904 is about 21521.2430867736. The cubic root of 463163904 is about 773.7100450276.

The spelling of 463163904 in words is "four hundred sixty-three million, one hundred sixty-three thousand, nine hundred four".